{"id":"https://openalex.org/W2169069877","doi":"https://doi.org/10.1109/tit.2014.2368555","title":"Achieving Marton\u2019s Region for Broadcast Channels Using Polar Codes","display_name":"Achieving Marton\u2019s Region for Broadcast Channels Using Polar Codes","publication_year":2014,"publication_date":"2014-11-07","ids":{"openalex":"https://openalex.org/W2169069877","doi":"https://doi.org/10.1109/tit.2014.2368555","mag":"2169069877"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2014.2368555","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2368555","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/207179","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061114394","display_name":"Marco Mondelli","orcid":"https://orcid.org/0000-0002-3242-7020"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Marco Mondelli","raw_affiliation_strings":["School of Computer and Communication Sciences, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"School of Computer and Communication Sciences, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078613749","display_name":"S. Hamed Hassani","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Seyed Hamed Hassani","raw_affiliation_strings":["Department of Computer Science, ETH Zurich, Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, ETH Zurich, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032026808","display_name":"Igal Sason","orcid":"https://orcid.org/0000-0001-5681-1273"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Igal Sason","raw_affiliation_strings":["Department of Electrical Engineering, Technion\u2014Israel Institute of Technology, Haifa, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Technion\u2014Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058759310","display_name":"R\u00fcdiger Urbanke","orcid":"https://orcid.org/0000-0002-4839-821X"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Rudiger L. Urbanke","raw_affiliation_strings":["School of Computer and Communication Sciences, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"School of Computer and Communication Sciences, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5061114394"],"corresponding_institution_ids":["https://openalex.org/I5124864"],"apc_list":null,"apc_paid":null,"fwci":11.8706,"has_fulltext":false,"cited_by_count":72,"citation_normalized_percentile":{"value":0.98739694,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"61","issue":"2","first_page":"783","last_page":"800"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.7239505052566528},{"id":"https://openalex.org/keywords/polar-code","display_name":"Polar code","score":0.678671658039093},{"id":"https://openalex.org/keywords/chaining","display_name":"Chaining","score":0.593210756778717},{"id":"https://openalex.org/keywords/polar","display_name":"Polar","score":0.5725930333137512},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.5043591260910034},{"id":"https://openalex.org/keywords/encoding","display_name":"Encoding (memory)","score":0.49826693534851074},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4798687994480133},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4490193724632263},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.445334255695343},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4450942277908325},{"id":"https://openalex.org/keywords/superposition-principle","display_name":"Superposition principle","score":0.4311137795448303},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.40437400341033936},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.393229603767395},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3289806842803955},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.20504283905029297},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13894230127334595},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07846257090568542}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.7239505052566528},{"id":"https://openalex.org/C2778396592","wikidata":"https://www.wikidata.org/wiki/Q7209069","display_name":"Polar code","level":3,"score":0.678671658039093},{"id":"https://openalex.org/C49020025","wikidata":"https://www.wikidata.org/wiki/Q1059099","display_name":"Chaining","level":2,"score":0.593210756778717},{"id":"https://openalex.org/C29705727","wikidata":"https://www.wikidata.org/wiki/Q294562","display_name":"Polar","level":2,"score":0.5725930333137512},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.5043591260910034},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.49826693534851074},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4798687994480133},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4490193724632263},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.445334255695343},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4450942277908325},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.4311137795448303},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.40437400341033936},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.393229603767395},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3289806842803955},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.20504283905029297},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13894230127334595},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07846257090568542},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tit.2014.2368555","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2368555","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.754.6375","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.754.6375","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1401.6060.pdf","raw_type":"text"},{"id":"pmh:oai:infoscience.epfl.ch:207179","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/207179","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:infoscience.epfl.ch:208605","is_oa":false,"landing_page_url":"http://infoscience.epfl.ch/record/208605","pdf_url":null,"source":{"id":"https://openalex.org/S4306400488","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:207179","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/207179","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G25419037","display_name":null,"funder_award_id":"200020_146832/1","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G6886698464","display_name":null,"funder_award_id":"12/12","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"},{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":72,"referenced_works":["https://openalex.org/W144904674","https://openalex.org/W744767937","https://openalex.org/W1494099594","https://openalex.org/W1606279588","https://openalex.org/W1894729687","https://openalex.org/W1965042169","https://openalex.org/W1970402036","https://openalex.org/W1973946599","https://openalex.org/W1978188352","https://openalex.org/W1982876544","https://openalex.org/W1984808298","https://openalex.org/W1984936663","https://openalex.org/W1984960835","https://openalex.org/W1991533668","https://openalex.org/W1998875316","https://openalex.org/W2016057463","https://openalex.org/W2023240512","https://openalex.org/W2025209266","https://openalex.org/W2031519636","https://openalex.org/W2031700647","https://openalex.org/W2033207355","https://openalex.org/W2055534149","https://openalex.org/W2061211961","https://openalex.org/W2066428891","https://openalex.org/W2079748983","https://openalex.org/W2092515246","https://openalex.org/W2094458162","https://openalex.org/W2096894382","https://openalex.org/W2121323749","https://openalex.org/W2129444266","https://openalex.org/W2131457481","https://openalex.org/W2136522581","https://openalex.org/W2137301158","https://openalex.org/W2139784773","https://openalex.org/W2142901448","https://openalex.org/W2150498905","https://openalex.org/W2155995390","https://openalex.org/W2156447837","https://openalex.org/W2158137498","https://openalex.org/W2167516986","https://openalex.org/W2170869643","https://openalex.org/W2172906094","https://openalex.org/W2175334662","https://openalex.org/W2178814587","https://openalex.org/W2211831180","https://openalex.org/W2295517275","https://openalex.org/W2296441616","https://openalex.org/W2403809834","https://openalex.org/W2563986199","https://openalex.org/W2951494324","https://openalex.org/W2962749897","https://openalex.org/W2963867573","https://openalex.org/W2964312190","https://openalex.org/W3037138804","https://openalex.org/W3037524284","https://openalex.org/W3098078190","https://openalex.org/W3099516920","https://openalex.org/W3101056631","https://openalex.org/W3104970439","https://openalex.org/W3106109794","https://openalex.org/W3106537820","https://openalex.org/W3123299285","https://openalex.org/W4205855417","https://openalex.org/W4300840296","https://openalex.org/W4301688475","https://openalex.org/W6605944005","https://openalex.org/W6622065352","https://openalex.org/W6636385666","https://openalex.org/W6638190783","https://openalex.org/W6650210032","https://openalex.org/W6680597225","https://openalex.org/W6929065262"],"related_works":["https://openalex.org/W3196757433","https://openalex.org/W2383319832","https://openalex.org/W1996341694","https://openalex.org/W3083370845","https://openalex.org/W2787340314","https://openalex.org/W1514186088","https://openalex.org/W2915071298","https://openalex.org/W3128513335","https://openalex.org/W3103925037","https://openalex.org/W2948772227"],"abstract_inverted_index":{"This":[0,24],"paper":[1,196],"presents":[2],"polar":[3,56,100,131,142,212],"coding":[4,93],"schemes":[5,94],"for":[6,38,58,144],"the":[7,26,60,86,96,116,121,134,141,159,172,184,188],"two-user":[8,42],"discrete":[9],"memoryless":[10],"broadcast":[11],"channel":[12,164],"(DM-BC)":[13],"which":[14],"achieve":[15],"Marton's":[16,74],"region":[17,30,75],"with":[18,76],"both":[19,59,145],"common":[20,89],"and":[21,34,107,110,126,136,163,177,200],"private":[22,77],"messages.":[23],"is":[25,36],"best":[27],"achievable":[28],"rate":[29,114],"known":[31],"to":[32,84,156,205,215],"date,":[33],"it":[35],"tight":[37],"all":[39],"classes":[40],"of":[41,88,99,115,123,174,187],"DM-BCs":[43],"whose":[44],"capacity":[45],"regions":[46],"are":[47,154,197],"known.":[48],"To":[49,139,166],"accomplish":[50],"this":[51,195],"task,":[52],"we":[53,72,81,170],"first":[54],"construct":[55],"codes":[57,132],"superposition":[61,135],"as":[62,64],"well":[63],"binning":[65,137],"strategy.":[66],"By":[67],"combining":[68],"these":[69,168],"two":[70],"schemes,":[71,146],"obtain":[73],"messages":[78],"only.":[79],"Finally,":[80],"show":[82],"how":[83],"handle":[85],"case":[87],"information.":[90],"The":[91,191],"proposed":[92],"possess":[95],"usual":[97],"advantages":[98],"codes,":[101],"i.e.,":[102],"they":[103,201],"have":[104],"low":[105],"encoding":[106],"decoding":[108],"complexity":[109],"a":[111,179],"superpolynomial":[112],"decay":[113],"error":[117],"probability.":[118],"We":[119],"follow":[120],"lead":[122],"Goela,":[124],"Abbe,":[125],"Gastpar,":[127],"who":[128],"recently":[129],"introduced":[130],"emulating":[133],"schemes.":[138],"align":[140],"indices,":[143],"their":[147],"solution":[148],"involves":[149],"some":[150],"degradedness":[151],"constraints":[152],"that":[153,182],"assumed":[155],"hold":[157],"between":[158],"auxiliary":[160],"random":[161],"variables":[162],"outputs.":[165],"remove":[167],"constraints,":[169],"consider":[171],"transmission":[173],"k":[175],"blocks":[176],"employ":[178],"chaining":[180],"construction":[181],"guarantees":[183],"proper":[185],"alignment":[186],"polarized":[189],"indices.":[190],"techniques":[192],"described":[193],"in":[194],"quite":[198],"general,":[199],"can":[202],"be":[203,216],"adopted":[204],"many":[206],"other":[207],"multiterminal":[208],"scenarios":[209],"whenever":[210],"there":[211],"indices":[213],"need":[214],"aligned.":[217]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":12},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}